Question

In calculating a one-sample chi-square test, when there are 3 degrees of freedom, the variable has how many categories?

Answer 1

Degrees of freedom = number of categories -1

Thus if degrees of freedom = 3

Number of categories = 4

Note : In one sample chi square test , there is a single categorical variable . For example a toy seller thinks balls of four colors in his shop is equally attractive. Thus in this case , categorical variable is color , which has four categories ( red , yellow , blue and green) . He compares the number of each color ball sold using chi square test to see whether demand is same using chi square test .

degrees of freedom is the number of measurement in the statistic that are free to vary . So for four categories , one is fixed category , rest can vary , thus we have 3 degrees of freedom.

Answer 2

Degrees of freedom = number of categories -1

Thus if degrees of freedom = 3

Number of categories = 4

Note : In one sample chi square test , there is a single categorical variable . For example a toy seller thinks balls of four colors in his shop is equally attractive. Thus in this case , categorical variable is color , which has four categories ( red , yellow , blue and green) . He compares the number of each color ball sold using chi square test to see whether demand is same using chi square test .

degrees of freedom is the number of measurement in the statistic that are free to vary . So for four categories , one is fixed category , rest can vary , thus we have 3 degrees of freedom.